How wide is the chasm between what men and women earn in the workplace? According to a 2015 analysis

Harold Kessler

Harold Kessler

Answered question

2022-01-16

How wide is the chasm between what men and women earn in the workplace? According to a 2015 analysis from a national women's group, women lose $435,049 over the course of a career because of the pay gap. The bar graph to the right shows the average earnings in the United States for men and women at ages 24 and 60. This exercise involves the graphs of models for the data shown in the rectangular coordinate system to the right. Complete parts (a) through (c) below.
a. Use the two points for men shown on the graph to find a function in the form M(x)=mx+b that models average yearly earnings for men x years after age 24.
M(x)=?

Answer & Explanation

maul124uk

maul124uk

Beginner2022-01-17Added 35 answers

Find the equation for men using two given points
two points are
(x1,y1)=(0,25) y-intercept is b=25
(x2,y2)=(30,64)
the slope of the line is given by
m=y2y1x2x1
m=6425300
m=1310
m=1.3
Equation of the line is given by
y=mx+b
y=1.3x+25
M(x)=1.3x+25 answer(a)
NOTE: Refresh your page if you can't see any equations.
Bukvald5z

Bukvald5z

Beginner2022-01-18Added 33 answers

a) (0,25) and (30,66)
m=y2y1x2x1=6625300=4130=1
Equation of line
y=mx+c
Passing through (0,25) and having m=1.3
25=1.37×0+c
25=c
So equation of line
m(x)=y=1.37x+25
b) (0,20) and (30,39)
m=y2y1x2x1
m=3920300=1930=0.63
Equation of line
y=mx+c
Passing through (p,20) and having m=0.63
20=0.63×0+c
20=c
So equation of line
w(x)=y=0.63x+20
c) m(x)=1.37x+25
m(38)=1.37×38+25
=77.06
w(x)=0.63x+20
w(38)=0.63×38+20
=43.94
Men earing at 38=77060
Women earning at 38=4394100×1
=43940
Difference =7706043940
=33120

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